{"title":"最小化仿射样条运动的畸变","authors":"Dae-Eun Hyun, B. Jüttler, Myung-Soo Kim","doi":"10.1109/PCCGA.2001.962857","DOIUrl":null,"url":null,"abstract":"The paper proposes a simple approach to the affine motion interpolation problem, where an affine spline motion is generated that interpolates a given sequence of affine keyframes and approximately satisfies rigidity constraints and certain optimization criteria. An affine spline motion is first generated so as to interpolate the given keyframes; after that, it is progressively refined via knot insertion and degree elevation into an optimal affine motion by an iterative optimization procedure.","PeriodicalId":387699,"journal":{"name":"Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2001-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Minimizing the distortion of affine spline motions\",\"authors\":\"Dae-Eun Hyun, B. Jüttler, Myung-Soo Kim\",\"doi\":\"10.1109/PCCGA.2001.962857\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper proposes a simple approach to the affine motion interpolation problem, where an affine spline motion is generated that interpolates a given sequence of affine keyframes and approximately satisfies rigidity constraints and certain optimization criteria. An affine spline motion is first generated so as to interpolate the given keyframes; after that, it is progressively refined via knot insertion and degree elevation into an optimal affine motion by an iterative optimization procedure.\",\"PeriodicalId\":387699,\"journal\":{\"name\":\"Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PCCGA.2001.962857\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PCCGA.2001.962857","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Minimizing the distortion of affine spline motions
The paper proposes a simple approach to the affine motion interpolation problem, where an affine spline motion is generated that interpolates a given sequence of affine keyframes and approximately satisfies rigidity constraints and certain optimization criteria. An affine spline motion is first generated so as to interpolate the given keyframes; after that, it is progressively refined via knot insertion and degree elevation into an optimal affine motion by an iterative optimization procedure.